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Finding the Fourth Proportional to 3,583.54, 5,374.29 and 1,391.80

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Solution

The fourth proportional to 3,583.54, 5,374.29 and 1,391.80 is: 2,087.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.54 : 5,374.29 = 1,391.80 : x
  2. Step 2: Convert to fraction form
    3,583.54/5,374.29 = 1,391.80/x
  3. Step 3: Cross multiply
    3,583.54x = 5,374.29 × 1,391.80
  4. Step 4: Simplify right side
    3,583.54x = 7,479,936.82
  5. Step 5: Solve for x
    x = 7,479,936.82/3,583.54
  6. Step 6: Final answer
    x = 2,087.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.